On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=({\gamma}/(x_{n}(x_{n1}+{\alpha})+\b{eta})), n=0,1,..., where the inital values x_{1} and x_{0} and {\alpha}, \b{eta} and {\gamma} with {\gamma} are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.
 Publication:

arXiv eprints
 Pub Date:
 June 2019
 DOI:
 10.48550/arXiv.1906.11629
 arXiv:
 arXiv:1906.11629
 Bibcode:
 2019arXiv190611629O
 Keywords:

 Mathematics  Dynamical Systems;
 39A10;
 39A30